Question

The hypotenuse of a right angled triangle is 6cm more than twice the shortest side. If the other side is 2cm less shorter side, find the side's of the triangle.

Answer 1

Let the shortest side be x.

Then hypotenuse=2x+6.

other side=x-2.

Now,

(2x+6)²=x²+(x-2)²

4x²+36+2*2x*6=x²+x²+4-(2*x*2)

4x²+36+24x=2x²+4-4x

2x²+32=28x

2x*x÷x+32=28

2x=60

x=30

Now apply the value of x to get all the lengths.

Hope it